Ohio State University Algebraic Geometry SeminarYear 2026-2027Time: Tuesdays 10:20-11:15amLocation: MW 154 (in person) or Zoom (virtual, email the organizers for the Zoom coordinates) |
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| TIME | SPEAKER | TITLE |
| September 22
Tue, 10:20am |
Jon Kim
(UC Boulder) |
The log MMP for the moduli space of cubic surfaces with a marked line |
| September 29
Tue, 10:20am |
Dawei Chen
(Boston College) |
|
| October 6
Tue, 10:20am |
Keller VandeBogert
(Kentucky) |
|
| October 13
Tue, 10:20am |
Angélica Cueto
(OSU) |
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| October 20
Tue, 10:20am |
Colin Defant
(Harvard) |
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| November 17
Tue, 10:20am |
Ayah Almousa
(Kentucky) |
See also the Arithmetic Geometry Seminar
(Kim): The moduli space of cubic surfaces with a marked line lies naturally between the moduli space of fully marked and unmarked cubic surfaces and comes equipped with a $W(D_5)$-action corresponding to the stabilizer of the marked line. Hodge theoretic compactifications of these moduli spaces have been extensively studied by many, including Allcock—Carlson—Toledo, Dolgachev—van Geemen—Kondo, and Casalaina-Martin—Grushevsky—Hulek. In previous work, by using KSBA wall crossing, we described many different birational models of this moduli space via KSBA stable pairs. In this talk, we will discuss recent results regarding the $W(D_5)$-invariant birational geometry of these KSBA moduli spaces and ongoing work on the log minimal model program for these KSBA moduli spaces with respect to their log canonical divisor.
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